Fluids and Newton's Laws

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AP Physics 1 › Fluids and Newton's Laws

Questions 1 - 10
1

A rock sinks through water at constant speed. Forces on it are weight $mg$ downward, buoyant force upward, and drag upward. Which statement about the net force is correct?

The net force is zero because the speed is constant.

The buoyant force equals $mg$ because the rock is in water.

The net force is downward because the rock is moving downward.

The buoyant force depends only on the rock’s mass, so it must exceed drag.

Explanation

This question involves equilibrium analysis for objects moving at constant velocity through fluids. The rock experiences weight mg downward, plus buoyant force and drag both upward. Since the rock moves at constant speed, its acceleration is zero, requiring zero net force by Newton's first law. Therefore, the sum of upward forces (buoyant force plus drag) must equal the downward weight mg. Choice A incorrectly assumes downward motion requires downward net force, but constant velocity requires zero net force regardless of motion direction.

2

A sinking object is observed to have increasing downward speed. Forces are weight $mg$ downward and buoyant force upward (drag negligible). Which is correct?

The net force is downward.

Buoyant force must equal $mg$ if it is in a fluid.

The net force is zero because it is moving.

The net force is upward because the fluid pushes up.

Explanation

This question tests net force analysis when objects accelerate downward in fluids. The object experiences weight mg downward and buoyant force upward, with negligible drag. Since the object has increasing downward speed, its acceleration is downward. By Newton's second law, downward acceleration requires downward net force, meaning the weight must exceed the buoyant force. Choice A incorrectly assumes fluids create upward net force, but acceleration direction determines net force direction regardless of the fluid medium.

3

A small object in a fluid experiences weight $mg$ downward and buoyant force upward only. It moves upward but slows down. What is the net force direction?

Zero because motion upward implies balanced forces.

Upward

Zero

Downward

Explanation

This question tests net force direction when objects decelerate while moving upward in fluids. The object experiences weight mg downward and buoyant force upward only. Since the object moves upward but slows down, its acceleration is downward (opposite to velocity direction). By Newton's second law, downward acceleration requires downward net force, meaning weight exceeds buoyant force. Choice D incorrectly assumes upward motion implies balanced forces, but deceleration requires net force opposing motion direction.

4

A dense cube falls through water and speeds up downward. Forces are weight $mg$ downward and buoyant force upward; drag is negligible at that instant. What is the direction of the net force?

Upward

Zero

Cannot be determined because buoyant force depends on mass.

Downward

Explanation

This question tests net force direction analysis when objects accelerate in fluids. The cube experiences weight mg downward and buoyant force upward, with negligible drag. Since the cube falls through water and speeds up downward, its acceleration is downward. By Newton's second law, downward acceleration requires downward net force, meaning weight exceeds buoyant force. Choice C incorrectly assumes net force could be zero despite changing speed, but acceleration requires non-zero net force in the direction of acceleration.

5

A ball is moving upward through water at constant speed. Forces are buoyant force upward, weight $mg$ downward, and drag downward. Which relation must hold?

$F_B > mg$

$F_B = mg + F_D$

$mg = F_B + F_D$ because it is moving upward.

$F_B = mg$

Explanation

This question examines force relationships for objects moving at constant velocity upward in fluids. The ball experiences buoyant force upward, weight mg downward, and drag downward. Since the ball moves upward at constant speed, its acceleration is zero, requiring zero net force by Newton's first law. Therefore, the upward buoyant force must equal the sum of downward forces: FB = mg + FD. Choice A incorrectly sets buoyant force equal to weight only, ignoring the additional downward drag force that must also be balanced.

6

A small object in a fluid experiences only two vertical forces: buoyant force upward and weight $mg$ downward. It is observed to move downward while speeding up. What is the net force direction?

Net force must be zero because only two forces act.

Upward

Downward

Zero

Explanation

This question examines net force direction for objects accelerating downward in fluids. The object experiences buoyant force upward and weight mg downward only. Since the object moves downward while speeding up, its acceleration is downward. By Newton's second law, downward acceleration requires downward net force, meaning the weight exceeds the buoyant force. Choice D incorrectly assumes having only two forces guarantees zero net force, but net force depends on the relative magnitudes of opposing forces.

7

A light object is held fully submerged by a downward tension in a string and is at rest. Forces are buoyant force upward, weight $mg$ downward, and tension downward. Which is correct?

The buoyant force equals $mg$.

There is no buoyant force because the object is tied.

The buoyant force equals $mg - T$.

The buoyant force equals $mg + T$.

Explanation

This question involves equilibrium analysis for light objects held submerged by external forces. The object experiences buoyant force upward, weight mg downward, and tension downward while at rest. Since the object is in equilibrium, Newton's first law requires zero net force, so the upward buoyant force must equal the sum of downward forces. Therefore, the buoyant force equals mg + T, with buoyant force balancing both weight and downward tension. Choice A incorrectly assumes buoyant force equals weight only, ignoring the additional downward tension.

8

A submerged object moves upward at constant speed. Forces are buoyant force upward, weight $mg$ downward, and drag downward. Which is correct about the net force?

Net force is downward because drag and weight both act downward.

Buoyant force must equal $mg$ because the speed is constant.

Net force is upward because buoyant force acts upward.

Net force is zero.

Explanation

This question tests equilibrium analysis for objects moving at constant velocity in fluids. The object experiences buoyant force upward, weight mg downward, and drag downward. Since the object moves upward at constant speed, its acceleration is zero, requiring zero net force by Newton's first law. Therefore, all forces must balance with upward forces equaling downward forces. Choice A incorrectly assumes upward motion requires upward net force, but constant velocity specifically requires zero net force regardless of motion direction.

9

A rock is held at rest underwater by a string attached above. Forces are buoyant force upward, tension upward, and weight $mg$ downward. Which statement is correct?

Buoyant force equals $mg$ because the rock is underwater.

The net force is zero, so $F_B + T = mg$.

The net force is upward because two upward forces act.

Tension must act downward to keep the rock from rising.

Explanation

This question tests equilibrium analysis for objects held stationary by external forces in fluids. The rock experiences buoyant force upward, tension upward, and weight mg downward while at rest. Since the rock is in equilibrium, Newton's first law requires zero net force, so upward forces must equal downward forces. Therefore, FB + T = mg, with both upward forces combining to balance the weight. Choice A incorrectly assumes multiple upward forces automatically create upward net force, but equilibrium requires force balance regardless of force directions.

10

A sphere is neutrally buoyant and is given a brief push upward in water. After the push, it moves upward at constant speed; drag is negligible and only buoyant force and weight act. Which is true after the push ends?

Net force is upward because it is moving upward.

Buoyant force depends only on mass, so it increases after the push.

Net force is zero, so buoyant force equals $mg$.

Buoyant force must be greater than $mg$ to keep it moving.

Explanation

This question involves equilibrium analysis for neutrally buoyant objects after external impulses. The sphere experiences buoyant force upward and weight mg downward, with negligible drag. Since the sphere moves upward at constant speed after the push, its acceleration is zero, requiring zero net force by Newton's first law. Therefore, the buoyant force must equal mg for force balance. Choice A incorrectly assumes upward motion requires upward net force, but constant velocity motion requires zero net force.

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